The formula for the sum of the a finite geometric series is this:
Sn = a((1-r^n) / (1-r))
The given values are:
n = 30
a = 0.5 mi
r = 1.10 (10% more each day)
S30 = 0.5 ((1-1.10^30) / (1-1.10))
S30 = 82.25 mi
After 30 days, he will have traveled 82.25 miles.
Sorry very hard to ans btw gl
Answer:
Step-by-step explanation:
A. It costs $20 per adult. If this is a cost fuction, which it is because the wording is "the cost (in dollars) for a adults and c students", adult is a, the cost for 1 adult, 1a, is 20. That relates the number of adults to the cost of 1 adult.
It costs $13 per student. Again, this is a cost function, so since student is c, the cost for 1 student, 1c, is 13. That relates the number of students to the cost of 1 student.
B. The total cost for 4 adult and 24 students looks like this:
20(4) + 13(24) which is 80 + 312 = $392
C. If you have 3 adults and 3 students in your group, the cost is 20(3) + 13(3) which is $99. If you double the number of each, let's see if the cost doubles. We will "up" the numbers to 6 each. 20(6) + 13(6) = $198. Is $198 the double of $99. Yes it is. Let's do it again to check. Let's double the 6.
20(12) + 13(12) = $396, and $198 doubled does in fact equal $396. So there you go!
Answer:
car 2
Step-by-step explanation:
Divide distance by size gas tank size.
For car 1 : 360 /12 = 30 miles per gallon.
For car 2 : 490/14 = 35 miles per gallon etc.
Car3 and car 4 are lower, making car 2 economical with best gas mileage
